African Journal of
Mathematics and Computer Science Research

  • Abbreviation: Afr. J. Math. Comput. Sci. Res.
  • Language: English
  • ISSN: 2006-9731
  • DOI: 10.5897/AJMCSR
  • Start Year: 2008
  • Published Articles: 236

Full Length Research Paper

Estimation of temperature distribution and thermal stresses in a thick circular plate

G. D. Kedar1 and K. C. Deshmukh2*
  1Department of Mathematics, Kamla Nehru Mahavidyalaya, Nagpur -440009 (Maharashtra) India. 2Department of Mathematics, RTM Nagpur University, Nagpur-440033 (Maharashtra) India.
Email: [email protected]

  • Article Number - 0BE3D6E3128
  • Vol.4(13), pp. 389 - 395, December 2011
  •  Accepted: 20 October 2011
  •  Published: 31 December 2011

Abstract

 

A thick circular plate with the arbitrary initial heat flux prescribed on the upper surface is considered and lower and the curved boundary surface are kept at zero temperature. The temperature distribution in the plate is determined by solving heat conduction equation with the help of variable separation technique and then stresses are determined with the help of suitable Michell’s function and Goodier’s thermoelastic displacement potential function. The results are obtained in series form in terms of Bessel’s functions and the temperature change, displacement function and thermal stresses have been computed numerically and illustrated graphically.

 

Key words: Quasi-static, steady state, thermoelastic problem, thermal stresses, thick plate.

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